<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
The origin of the coordinate system is the center of the circle. So we have an angle that measures
. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:

Finally, the exact value of the position of the rider after the carousel rotates
radians is:

Answer:
20 units²
Step-by-step explanation:
I have included the answer as well as an explanation and formula above. Note that the formula is only for area of trapeziums/trapezoids
Answer:
35/4
Step-by-step explanation:
Change -1 2/3 into -5/3. Change -5 1/4 into -21/4.
Multiply -5/3 by -21/4= 105/12
Reduces down to 35/4
1/4 in decimal form is 0.25, so 0.4 is definitely greater.